Q1. A drive out at 40 km/hr in the dessert on a road and returns over the same road at 30 km/hr and takes less than 6 hours? Then find which of the following can be the possible value (s) of distance (distance is an integral value divisible by 8)?
I. 16 II. 24 III. 40 IV. 48 V.72
(a) Only III and IV
(b) Only I, II and III
(c) Only IV and V
(d) Only II and III
(e) None of these
Q2. The ratio of quantity of milk to that of water in the mixture is 2: 5. When x lit of milk is added to the mixture, ratio of milk to water becomes 2: 3 and when 20 lit of water is further added to the mixture, ratio of milk to that of water becomes 1: 2. Find the value of x?
(a) 20 lit
(b) 16 lit
(c) 18 lit
(d) 24 lit
(e) 12 lit
Q3. Veer has two articles of the same cost price. He has sold both articles to Ayush at Rs 320 each. Ratio of profit % on first article (calculated on CP) to profit % on second article (calculated on SP) is 8: 5. Ayush sold the first article at Rs Z and earns a profit which is 20% less than profit earned by Veer on first article?
(a) Rs 408
(b) Rs 436
(c) Rs 424
(d) Rs 416
(e) Rs 420
Q4. Shivam alone can do a work in 12 days and Maanik alone can do it in 15 days. Both started the work together and after working for 4 days, Shivam left the work. After 2 more days, Veer joins Maanik and the whole work is completed in 2 days more than the time taken by Shivam and Maanik together to do that work. Find the time taken by Veer alone to do that work?
(a) 36 days
(b) 24 days
(c) 30 days
(d) 27.5 days
(e) 20 days
Q5. Amit lends Rs. 1725 at the beginning of a year at a certain rate of interest at SI. After 4 months, he lends a sum of Rs 1075 at a rate 7% more than the earlier rate of interest at SI. At the end of the year, if difference between the interest received from both the amounts is Rs 30.5 then, find the rate of interest at which second sum is invested?
(a) 12%
(b) 13.5%
(c) 22.5%
(d) 17.5%
(e) 15%
Solutions
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